## 267 Citations

Phase Transitions in Genetic Programming Search

- Biology
- 2007

This chapter summarizes the research group’s work in phase transitions and describes a case study that illustrates what is involved in establishing the existence of phase transitions in GP search.

Phase Transitions in Artificial Intelligence

- Computer Science
- 2017

This essay discusses a family of closely related papers on the application of ideas from the physics of phase transitions to artificial intelligence algorithms, specifically, heuristic search and activation spreading nets.

Stochastic Search and Phase Transitions: AI Meets Physics

- PhysicsIJCAI
- 1995

This work will discuss how an analogous phenomenon occurs in phase transitions studied in physics, and how experiments with critically constrained problems have led to surprising new insights into average-case complexity and stochastic search methods in AI.

Locating phase transitions in computationally hard problems

- Computer ScienceArXiv
- 2010

The existence of a dynamical critical exponent is shown, enabling one to predict the onset of critical slowing down, rather than finding it after the event, in the specific case of a travelling salesman problem (TSP).

Statistical mechanics methods and phase transitions in optimization problems

- Computer Science, PhysicsTheor. Comput. Sci.
- 2001

Complexity-theoretic models of phase transitions in search problems

- Computer ScienceTheor. Comput. Sci.
- 2000

Survey on computational complexity with phase transitions and extremal optimization

- Computer ScienceProceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
- 2009

This survey reviews the latest research results from fundamental to practice about the connection between computational complexity and phase transitions, and introduces the concepts, fundamentals, algorithms and applications of extremal optimization from its capability of self-organized criticality, backbone analysis and co-evolution moving to a far-from-equilibrium state.

A note on phase transitions and computational pitfalls of learning from sequences

- Computer ScienceJournal of Intelligent Information Systems
- 2008

It is shown that, in the case of grammatical inference, while there is no phase transition when considering the whole hypothesis space, there is a much more severe “gap” phenomenon affecting the effective search space of standard grammatical induction algorithms for deterministic finite automata (DFA).

Phase Transitions within Grammatical Inference

- Computer ScienceIJCAI
- 2005

It is shown that while there is no phase transition when considering the whole hypothesis space, there is a much more severe "gap" phenomenon affecting the effective search space of standard grammatical induction algorithms for deterministic finite automata (DFA).

Determining computational complexity from characteristic ‘phase transitions’

- Computer ScienceNature
- 1999

An analytic solution and experimental investigation of the phase transition in K -satisfiability, an archetypal NP-complete problem, is reported and the nature of these transitions may explain the differing computational costs, and suggests directions for improving the efficiency of search algorithms.

## References

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THE TYPICALITY OF PHASE TRANSITIONS IN SEARCH

- BusinessComput. Intell.
- 1993

A criterion for determining when average case results reflect typical behavior is introduced which allows the method developed here to be used for investigating other large‐scale behaviors of complex AI systems.

Applications of Statistical Mechanics to Combinatorial Search Problems

- Mathematics
- 1995

The statistical mechanics of combinatorial search problems is described using the example of the well-known NP-complete graph coloring problem. We focus on a recently identified phase transition from…

Optimization by Simulated Annealing

- PhysicsScience
- 1983

A detailed analogy with annealing in solids provides a framework for optimization of the properties of very large and complex systems.

An Empirical Study of Phase Transitions in Binary Constraint Satisfaction Problems

- BusinessArtif. Intell.
- 1996

Quantum Computing and Phase Transitions in Combinatorial Search

- Computer ScienceJ. Artif. Intell. Res.
- 1996

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done…

The phase transition in constraint satisfaction problems: A closer look at the mushy region

- Computer Science
- 1994

This paper examines the phase transition, in which the probability that there is a solution decreases from 1 to 0 as the constraints become increasingly tight, for a class of binary constraint…

Observation of Phase Transitions in Spreading Activation Networks

- PsychologyScience
- 1987

This work has confirmed a predicted abrupt behavioral change as either the topology of the network or the activation parameters are varied across phase boundaries in spreading activation networks.